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Circle Area Calculations & Arc Lengths

Discover ways to find the area of circles, calculate arc lengths for a central angle, and solve problems involving shaded sectors. Utilize examples and exercises from Section 8.5 of Carnegie Learning Unit 6 textbook on page 451.

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Circle Area Calculations & Arc Lengths

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  1. Objective: Find area of circles. Warm up Find the length of the arc intercepted by the 90 degree central angle. r=2 cm.

  2. Find the distance around the blue part of the circle. r=3 cm.

  3. Investigation: Area of Circle

  4. Example 1 Find the area of the circle. Example 2 a. b.

  5. Example 3 Find the area of the shaded sector. Example 4

  6. Assignment Carnegie Learning Unit 6 Textbook: Section 8.5 Pg 451 # 1-10, 12,13,17,18,20.

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